Mathematics and natural sciences – master programs

19.04.01 Biotechnology – System Biotechnology and Architecture of Living Systems (Institute of Environmental Sciences)

Name19.04.01 Biotechnology – System Biotechnology and Architecture of Living Systems (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of saleKazan, Institute of Environmental Sciences
Description of the program, specialized coursesThe main objective of the program is to train an expert researcher in the field of biotechnology . This direction is one of the most promising and promising in studying the possibilities of using living organisms. In today’s world, biotechnology is inextricably linked with engineering (including genetic engineering), energy, agriculture, ecology, medicine, and many other industries and scientific areas. At the intersection of biotechnology and other scientific fields, the most interesting and unexpected solutions can be born, allowing you to better recognize and use the potential of a wide variety of living organisms. A biotechnologist is not only a production worker, he is also a scientist who is engaged in research on changing the properties of a living organism, in particular, uses advanced technologies of molecular biology, genetic engineering to help people and the environment. Biotechnologists work in research institutes and teach at universities. They are also in demand in large companies and enterprises. Students are trained in the laboratories of KFU using modern equipment, the practice is implemented in companies and biotechnological enterprises.  

Main disciplines:
Modern equipment for biotechnological production
Biochemical and microbiological foundations of biotechnological processes
Biotechnologies for neutralization of organic toxicants and soil re-cultivation
Technologies for the production of biological means of plant protection and nutrition
Microbial biotechnology in animal husbandry
Modern medical biotechnologies
Technologies for the production of biofuels and energy from renewable sources of raw materials
Biotechnologies for wastewater treatment and restoration of natural water bodies
Methods of molecular biology in biotechnology
Career prospectsPublic administration in environmental and food safety
Perfume and cosmetics industry
Oil and gas industry

21.04.02 Land Assessment and Monitoring (Institute of Environmental Sciences)

Name21.04.02 Land Assessment and Monitoring (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of implementationKazan, Institute of Environmental Sciences
Description of the program, specialized coursesMaster’s program 21.04.02 Land management and cadastres (profile: Assessment and monitoring of land) is focused on the study of current problems and development trends in the land management industry, modern methods (technologies) of design and land management work. Graduates in the direction 21.04.02 Land management and cadastres are able to process land management information using new technologies of mathematical and computer modeling, geographic information systems and systems for monitoring land resources, develop and implement a feasibility study for plans, projects and schemes for the use of land resources and territorial planning.

Main disciplines:
Geo-information technologies in land management
Planning and organization of land management and cadastral works
Modern problems of land management and cadasters
Automated systems for design and cadaster
Regional development management
Territorial development of cities
State administration in the field of protection of land resources
Land monitoring
Modern methods for assessing agricultural land
Management of the land and property complex
Cadastral zoning of the territory  
Career prospectsPublic administration in land management
Cartography
Land measurements and cadastral engineering

06.04.02 Soil Science – Information Technology and Management of Agricultural Ecosystems (Institute of Environmental Sciences)

Name06.04.02 Soil Science – Information Technology and Management of Agricultural Ecosystems (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of saleKazan, Institute of Environmental Sciences
Description of the program, specialized coursesThe direction of the training program 06.04.02 Soil science includes the training of professional specialists who are able to carry out scientific research in the field of studying the soil cover on the basis of fundamental knowledge in the field of soil science and agricultural chemistry. Specialists are able to implement scientific and technical projects on the introduction of information technologies and agroecosystem management in the practice of agricultural production, rational use of soils, conservation of soil fertility and land management.  

Main disciplines:
1. Information technologies in soil science, agricultural chemistry and soil ecology
2. Mathematical modeling of soil processes
3. Modern innovative technologies in agricultural chemistry, agriculture and soil fertility management 
4. Special methods for the analysis of soils, parent rocks and groundwater
5. Modern problems of soil science and agricultural ecology
6. Monitoring the state of land resources
7. Legislative framework for rational use of soils and conservation of soil fertility
8. Computer technologies and databases in soil science and agricultural chemistry
9. Assessment of anthropogenic load on the soil cover
10. Development of expert opinions in the field of agricultural chemistry, agricultural ecology and soil science.
Career prospectsPublic administration in environmental protection and agriculture
Food safety
Land surveying
Forestry
Agricultural research

05.04.04 Hydrometeorology – Modeling of Atmospheric Processes (Institute of Environmental Sciences)

Name05.04.04 Hydrometeorology – Modeling of Atmospheric Processes (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of implementationKazan, Institute of Environmental Sciences
Description of the program, specialized coursesThe educational program is built in accordance with the recommendations of the World Meteorological Organization (WMO), based on the WMO document “Guidelines for teachers in the field of meteorological, hydrological and climate services” and modern State educational standards. The competitiveness of the program is ensured by the presence of permanent contacts with employers, the orientation of courses in accordance with the competencies necessary for employers and the continuous work of the teaching staff of the department to improve their skills.  

Main disciplines:
Theory of General Atmospheric Circulation and Climate
Atmospheric chemistry and climate
Long range meteorological forecasts
Meteorological support of economic activity
Special questions of theoretical meteorology
Methods of influence on atmospheric processes
Predictive hydro-meteorological models
Geophysical hydrodynamics: atmospheric processes
Bioclimatology
Simulation of the middle atmosphere
Career prospectsWeather services
Aviation services

04.05.06 System Ecology – Digital and Remote Methods (Institute of Environmental Sciences)

Name04.05.06 System Ecology – Digital and Remote Methods (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of saleKazan, Institute of Environmental Sciences
Description of the program, specialized coursesThe goal of the master’s program “System ecology, digital and remote methods” is to train professional ecologists, who are able to carry out system-level analysis of the state and characteristic of environmental systems; to develop and implement advanced technologies for monitoring and forecasting of changes in the ecosystem and environmental resources; determine strategies for optimal environmental management and sustainable development of regions; make managerial decisions in the area of ecology and the use of natural resources.   Basic component: System ecologyMathematical models in ecologyLandscape ecology and nature conservationInternational cooperation on environmental protectionGIS technologies and spatial analysisRemote sensing in environment assessmentRegression analysis in ecology
Career prospectsPublic administration in environmental protection
Research in environmental protection
GIS expert

05.04.06 Ecological Safety and Management of Environmental Protection (Institute of Environmental Sciences)

Name05.04.06 Ecological Safety and Management of Environmental Protection (Institute of Environmental Sciences)
LevelMaster’s degree
Duration2 years
Form of studyFull-time
Teaching languageRussian
Place of implementationKazan, Institute of Environmental Sciences
Description of the program, specialized coursesThe master’s program “Ecological safety and management in the field of environmental protection” (05.04.06 Ecology and nature management) is focused on studying the principles of biosphere safety, business administration in the field of intersectoral management of environmental protection and nature management; development of innovative energy and resource-saving technologies, methods of restoration and rehabilitation of disturbed territories; use of modern methods of managing natural resources and the ecological situation in the region, including geographic information systems, to ensure environmental safety and sustainable development. A Master in Ecology and Nature Management can conduct comprehensive studies of sectoral, regional, national and global environmental problems, develop recommendations for their resolution; evaluate the state, stability and forecast of the development of natural complexes; able to design standard environmental measures; evaluate the impact of planned facilities or other forms of economic activity on the environment; conduct environmental monitoring; analyze private and general problems of the use of natural conditions and resources, environmental management; identify and diagnose problems of nature protection, develop practical recommendations for the conservation of the natural environment in order to ensure environmental safety and sustainable development.  

Main disciplines:
1.         Audit of technologies, industries and territories according to environmental criteria.
2.         Legislative framework for ensuring environmental safety and management in the field of environmental protection.
3.         Engineering and environmental support for the rehabilitation of disturbed areas.
4.         Innovations in ecology and nature management.
5.         Computer technologies and statistical methods in ecology and nature management.
6.         Conceptual bases and methods for assessing environmental risk and negative consequences of economic activity.
7.         Methods of ecological immunology and genetics in ensuring ecological safety.
8.         Good international industry practice for the protection of the environment and public health.
9.         Natural focal infections of territories.
10.       Food and biological security.
11.       Radiation safety.
12.       Evolution of the biosphere.
13.       Ecological toxicology.
14.       Environmental technologies for the restoration of water bodies.
15.       Energy-saving environmental technologies.
Career prospectsPublic administration in environmental protection
Agricultural industry
Laboratory employment

01.04.03 Mechanics and Mathematical Modelling – Mechanics of Deformable Solids (Institute of Mathematics and Mechanics)

01.04.03 Mechanics and Mathematical Modelling – Mechanics of Deformable Solids (Institute of Mathematics and Mechanics)

NameContent
Name01.04.03 Mechanics and Mathematical Modelling Specialization “Mechanics of Deformable Solids”
LevelMaster’s degree
Duration2 year
Mode of studyFull-time
Language of studyRussian
LocationKazan, N.I. Lobachevsky Institute of Mathematics and Mechanics
Description, major coursesThe aim of the program is – to train the student in the field of Mathematical Methods of Modelling of Mechanics of Deformable Solids (solving various problems using processes of mathematical modelling objects using modern mathematical equipment and software; developing effective methods for solving problems of natural science, engineering, economics and management); -to prepare Master’s degree students for Postgraduate Program “Mechanics of Deformable Solids”, “Mathematical modeling, numerical methods and software packages”.

Additional Chapters of Mechanics of Deformable Solids
Computer Practicum in Mechanics  
Additional Chapters on Fluid and Gas Mechanics  
Dynamics of Structures with Moving Loads  
Soil Mechanics  
Stability of Plates and Shells  
Dynamics Problems of Elasticity Theory  
Computational Methods in Nonlinear Mechanics  
Modern Problems of Mechanics  
Mechanics of Contact Interaction and Fracture  
Mechanics of Composite Materials  
Viscoelasticity Theory  
Experimental Research of Material Properties
Career prospectsGraduates are prepared to solve professional problems following types: research, pedagogical, design-technological, organizational and managerial.   Work in higher and secondary educational institutions, research organizations, engineering departments of oil and gas industry, automotive, energy and mechanical engineering, as well as aerospace industry.

Lecturer
Engineer
Mechanical Engineer
Research Engineer
Calculating Engineer
Design Engineer
Researcher
Project Manager

01.04.03 Mechanics and Mathematical Modelling – Fluid, Gas and Plasma Mechanics (Institute of Mathematics and Mechanics)

01.04.03 Mechanics and Mathematical Modelling – Fluid, Gas and Plasma Mechanics (Institute of Mathematics and Mechanics)

NameContent
Name01.04.03 Mechanics and Mathematical Modeling; Major “Mechanics of Fluid, Gas, and Plasma”
LevelMaster
Duration2 years
Mode of studyFull-time
Language of studyRussian
LocationKazan, N.I. Lobachevsky Institute of Mathematics and Mechanics
Description, major coursesThe program is designed for graduates of bachelor’s and specialist’s degree programs in the natural sciences.   Training goes on the way of specialization in the field of classical hydromechanics. The first year is dominated by the disciplines of general professional courses; the second year – special disciplines, disciplines of choice, workshops and research work.   Among the many areas of aerohydromechanics in the educational environment of KFU IMM the leading problems are those of classical fluid dynamics, turbulent flow and heat transfer theory, underground fluid mechanics and multiphase media dynamics.   Significant emphasis is placed on computational experiments using high-performance computational schemes and algorithms. The basic programming language is C++. Such software packages as Matlab, Wolfram Mathematica, ANSYS, FLUENT, OpenFOAM, etc. are used in the classes.
Career prospectsResearcher; Software developer; Modeling department specialist; Programmer; Performance Lead; Deputy General Director of Technology Center, Software Developer, NG field development engineer

01.04.03 Mechanics and Mathematical Modelling – Mechanics of the Oil and Gas Seam (Institute of Mathematics and Mechanics)

01.04.03 Mechanics and Mathematical Modelling – Mechanics of the Oil and Gas Seam (Institute of Mathematics and Mechanics)

NameContent
Name01.04.03 Mechanics and mathematical modeling, specialty  “Mechanics of oil and gas reservoirs
LevelMaster
Duration2 years
Mode of studyFull-time
Language of studyRussian
LocationKazan, N.I. Lobachevsky Institute of Mathematics and Mechanics
Program description, major coursesThe purpose of the program is to train qualified, competitive specialists in the field of research activities, using mathematical methods and computer technologies to solve problems of oil and gas reservoir mechanics. Target applicants are graduates of undergraduate science programs with basic knowledge of mathematics, mechanics and/or physics, programming, and a general understanding of oil and gas reservoir geology. In the first semester, students are offered a number of elective courses designed to compensate for differences in basic education.

Obligatory disciplines:
– basics of geology and theory of oil and gas field development,
– computer workshop on mechanics,
– mechanics of liquids, gas and plasma,
– mechanics of deformable solids  

Elective courses:
– Fundamentals of Continuum Mechanics;
– multiphase filtration theory;
– methods for solving mesh equations;
– Mathematical modeling of the geological structure of the oil and gas reservoir;
– modern software for reservoir hydrodynamic simulation;
– numerical simulation packages for mechanical problems;
– modeling of geological and technical measures  

Students conduct practical training on the basis of oilfield service companies with the possibility of further employment.
Career prospects  Examples of  positions: Modeling Department Specialist, Programmer, Software Developer, NIH Reservoir Engineer,Software Developer

01.04.01 Mathematics – Analysis on Varieties (Institute of Mathematics and Mechanics)

01.04.01 Mathematics – Analysis on Varieties (Institute of Mathematics and Mechanics)

NameСодержание
Name01.04.01 Mathematics Specialization «Analysis on Varieties»
LevelMaster
Duration2 years
Mode of studyFull-time
Language of studyRussian
LocationKazan, N.I. Lobachevsky Institute of Mathematics and Mechanics
Program description, major coursesThis master’s degree program provides fundamental knowledge of complex and functional analysis, algebra and geometry, as well as computer technology and programming. Graduates possess basic and special methods of mathematical research in the analysis and solution of various mathematical problems using deep knowledge of fundamental and special physical and mathematical disciplines and computer science.

Major disciplines:
Algebra, abstract algebra
Computable algebras
Computational Geometry
Geometric theory of functions
Additional chapters of comprehensive analysis
Additional chapters of the theory of smooth manifolds
Additional chapters of functional analysis
Selected Issues in Number Theory
Selected Chapters of Mathematical Logic
Isoperimetric inequalities
Quasi-conformal mappings
Boundary problems of the theory of analytic functions and singular integral equations
Riemann surfaces
The theory of rings and modulesElliptic functions
Career prospectsHigher education teacher, researcher in mathematics, developer of mathematical models, analyst, financial analyst, programmer, specialist mathematician working in applied fields such as economics, finance, business, medicine, engineering.

01.04.01 Mathematics – Geometry and Its Applications (Institute of Mathematics and Mechanics)

01.04.01 Mathematics – Geometry and Its Applications (Institute of Mathematics and Mechanics)

NameContent
Name01.04.01 Mathematics Major: Geometry and its applications
LevelMaster
Duration2 years
Mode of studyFull-time
Language of studyRussian
PartnerNovosibirsk State University
LocationKazan, N.I. Lobachevsky Institute of Mathematics and Mechanics
Program description, major coursesType of professional activity: Research activities in fundamental and applied mathematics, mechanics, natural sciences; teaching activities in mathematics, mechanics, computer science.  

The list of the main disciplines of the specialization:
methods of mathematical modeling of natural science problems;
modern problems of mathematics;
machine learning;
project management;
Riemann surfaces and their applications in integrable systems;
Geometry and topology of toric manifolds;
Lobachevsky geometry;
computer technology in geometry;
Beginnings of symplectic geometry;
Geometry and analysis on varieties;
metric geometry; general theory of relativity;
algebraic topology;
Interactive and dynamic graphics in computer mathematical systems;
3D computer modeling
Career prospectsExamples of graduate job titles and positions: university lecturer; postgraduate student; researcher; data analyst; aircraft guidance systems developer.

03.04.02 Theoretical Physics and Modeling of Physical Processes (Institute of Physics)

Title03.04.02 Theoretical Physics and Modeling of Physical Processes
LevelMaster’s degree
Duration2 years
Mode of studyFull-time
Language of studyRussian
LocationKazan, Institute of Physics
Description, Major coursesTraining of highly qualified competitive theoretical physicists (+experimental physicist with enhanced theoretical training) in
– Condensed Matter Physics
– Gravitational Physics and Cosmology
– Computer Modelling with appropriate methods in mathematics and programming.
  Our students have the opportunity to intern and to continue their studies and research activities in graduate schools, both at KFU’s Institute of Physics and in other institutions of Russia (Moscow State University (MSU), Higher School of Economics (HSE), Moscow Institute of Physics and Technology (MIPT), Joint Institute for Nuclear Research (JINR)) and abroad (Germany, France, Japan, etc.).  

Main disciplines:
– Modern Physics
– Information Technologies in Physics
– Academic Communication
– Additional Chapters in Quantum Theory
– Physics of Nonequilibrium Processes
– Modern Methods of Classical and Quantum Field Theory
– Quantum Computing
– Theory of Phase Transitions in Condensed Media  

Optional courses:
– Nonlinear Systems and Fractals
– Chemoinformatics
– Physical Principles of Nanostructures Creation
– Methods of Quantum Field Theory in Statistical Physics
– Modern Theory of Gravitation
– Theoretical Foundations of Spintronics
– Physics of Noncrystalline Media
– Computer Aided Design of Materials
– Computational Methods and Simulation of Physical Processes
– Gravitational Waves
– Theory of Optical Spectrum
– Experimental Methods in Condensed Matter Physics and Fundamentals of Spintronics
– Black Holes and Wormholes
– Quantum Low Dimensional Structures
– Experimental Tests in Gravity Theory
– Theory of Strongly Correlated Systems
– Relativistic Plasma Theory
– Diffusion in Disordered Media
Career prospectsAreas of professional activity
– Research in Fundamental Science (leading Russian and international scientific centers)
– Education (universities and institutions of higher and secondary professional education)
– Programming and modeling (IT companies and organizations)
– Applied research (scientific departments of industrial enterprises)

Employment Opportunities:
– Postgraduate research in educational and research organizations
– Departments and laboratories of educational and research organizations: researcher, teacher;
– Financial and advertising organizations and high-tech industries: data analyst;
– IT-sphere enterprises: Programmer, Developer.

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